64811916288 has 352 divisors, whose sum is σ = 232277184000. Its totient is φ = 17427529728.

The previous prime is 64811916283. The next prime is 64811916289. The reversal of 64811916288 is 88261911846.

It is a happy number.

64811916288 is a `hidden beast` number, since 6 + 4 + 8 + 1 + 1 + 9 + 1 + 628 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64811916283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3280263 + ... + 3299961.

Almost surely, 2^64811916288 is an apocalyptic number.

64811916288 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64811916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116138592000).

64811916288 is an abundant number, since it is smaller than the sum of its proper divisors (167465267712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64811916288 is a wasteful number, since it uses less digits than its factorization.

64811916288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19752 (or 19728 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 64811916288 in words is "sixty-four billion, eight hundred eleven million, nine hundred sixteen thousand, two hundred eighty-eight".